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Relative Bertini type theorem for multiplier ideal sheaves

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Publication:2683736
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MaRDI QIDQ2683736

Osamu Fujino

Publication date: 14 February 2023

Published in: Osaka Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1709.01406


zbMATH Keywords

multiplier ideal sheaves


Mathematics Subject Classification ID

Kähler manifolds (32Q15) Sheaves and cohomology of sections of holomorphic vector bundles, general results (32L10) Vanishing theorems (32L20)


Related Items

On the restriction formula



Cites Work

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  • A vanishing theorem of Kollár-Ohsawa type
  • A proof of Demailly's strong openness conjecture
  • Vanishing theorems on complete Kähler manifolds
  • Higher direct images of dualizing sheaves. I
  • Sard and Bertini type theorems for complex spaces
  • Complex analytic geometry
  • Higher direct images of canonical sheaves tensorized with semi-positive vector bundles by proper Kähler morphisms
  • Analytic Bertini theorem
  • Foundations of the minimal model program
  • Kollár-Nadel type vanishing theorem
  • Introduction to Grothendieck duality theory
  • A transcendental approach to Kollár's injectivity theorem II
  • Injectivity theorems with multiplier ideal sheaves for higher direct images under Kähler morphisms
  • Injectivity theorem for pseudo-effective line bundles and its applications
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